Newton’s second law

Suppose an object traveling through a fluid is subject only to a force resisting its motion, and this resisting force is proportional to the velocity of the object. By Newton’s second law we have m(dv/dt)=-cv. Find a solution v(t) of this differential equation for which v(0) = v sub 0.

Suppose an object traveling through a fluid is subject only to a force resisting its motion, and this resisting force is proportional to the velocity of the object. By Newton’s second law we have m(dv/dt)=-cv. Find a solution v(t) of this differential equation for which v(0) = v0.